Quasi-relativistic fermions and dynamical flavour oscillations

TL;DR

This paper introduces a Lorentz-violating four-fermion model with quasi-relativistic dispersion, demonstrating dynamical mass generation and flavor oscillations, bridging relativistic regimes and allowing flexible phenomenological parameters.

Contribution

It presents a novel Lorentz-violating kinematic framework enabling dynamical flavor mixing and oscillations in fermions, with a consistent relativistic limit.

Findings

Dynamical mass generation independent of coupling strength.

Flavor-mixing mass matrix emerges dynamically.

Model reproduces phenomenological mass and mixing parameters.

Abstract

We introduce new Lorentz-symmetry violating kinematics for a four-fermion interaction model, where dynamical mass generation is allowed, irrespectively of the strength of the coupling. In addition, these kinematics lead to a quasi-relativistic dispersion relation, in the sense that it is relativistic in both the infrared and the ultraviolet, but not in an intermediate regime, characterized by the mass $M$. For two fermions, we show that a flavour-mixing mass matrix is generated dynamically, and the Lorentz symmetric limit $M\to\infty$ leads to two free relativistic fermions, with flavour oscillations. This model, valid for either Dirac or Majorana fermions, can describe any set of phenomenological values for the eigen masses and the mixing angle.